Recently, some positive results have been established showing the UAP for particular deep narrow networks. Hanin and Sellke [1]} have shown that deep narrow networks with ReLU activation function have the UAP, and require only width \(n+m\) . Lin and Jegelka [2]} have shown that a ResNet with ReLU activation function, arbitrary input dimension, width 1, output dimension 1 have the UAP. For activation functions other than ReLU, Kidger and Lyons [3]} have shown that deep narrow networks with any non-polynomial continuous function have the UAP, and require only width \(n+m+1\) . The comparison the UAPs are shown in Table REF .
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